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Finding the Fourth Proportional to 688,451.40, 949,907.66 and 416,512.53

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Solution

The fourth proportional to 688,451.40, 949,907.66 and 416,512.53 is: 574,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,451.40 : 949,907.66 = 416,512.53 : x
  2. Step 2: Convert to fraction form
    688,451.40/949,907.66 = 416,512.53/x
  3. Step 3: Cross multiply
    688,451.40x = 949,907.66 × 416,512.53
  4. Step 4: Simplify right side
    688,451.40x = 395,648,440,650.42
  5. Step 5: Solve for x
    x = 395,648,440,650.42/688,451.40
  6. Step 6: Final answer
    x = 574,693.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.